Existence and nonexistence in a class of equations with supercritical growth

DOI10.1080/00036810008840816zbMath1026.35035OpenAlexW1974721367WikidataQ58280849 ScholiaQ58280849MaRDI QIDQ2729446

José Valdo A. Goncalves, Paulo Cesar Carrião, Olímpio Hiroshi Miyagaki

Publication date: 22 July 2001

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810008840816

zbMATH Keywords

regularityexistencenonexistencesemilinear elliptic equationsvariational methodsasymptotic behavioursupercritical exponentslower and upper-solutions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60)

Related Items

Multiplicity of solutions for critical singular problems ⋮ Existence of solution for a supercritical nonlinear Schrödinger equation ⋮ Existence of solution for elliptic equations with supercritical Trudinger–Moser growth ⋮ Existence, nonexistence, and asymptotic behavior of solutions for \(N\)-Laplacian equations involving critical exponential growth in the whole \({\mathbb{R}}^N\)

Cites Work

• Regularity for a more general class of quasilinear equations
• Combined effects of concave and convex nonlinearities in some elliptic problems
• Multiplicity results for some nonlinear elliptic equations
• A strong maximum principle for some quasilinear elliptic equations
• Local behavior of solutions of quasi-linear equations
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• Existence of positive solutions for some problems with nonlinear diffusion
• Existence of positive solutions for m-Laplacian equations in N involving critical Sobolev exponents
• Quasilinear elliptic problems with critical exponents